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Finding the Fourth Proportional to 1,704.69, 2,558.25 and 1,315.08

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Solution

The fourth proportional to 1,704.69, 2,558.25 and 1,315.08 is: 1,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.69 : 2,558.25 = 1,315.08 : x
  2. Step 2: Convert to fraction form
    1,704.69/2,558.25 = 1,315.08/x
  3. Step 3: Cross multiply
    1,704.69x = 2,558.25 × 1,315.08
  4. Step 4: Simplify right side
    1,704.69x = 3,364,303.41
  5. Step 5: Solve for x
    x = 3,364,303.41/1,704.69
  6. Step 6: Final answer
    x = 1,973.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.